Taşçı began his footballing career in his local club VV Union at the age of four, before moving to Vitesse and NEC to continue his training.
[3] Taşçı made his professional debut with Jong Ajax as a late substitute for Ar'jany Martha in a 4–0 Eerste Divisie loss to Roda JC on 30 August 2020.
[5] He made his debut for the first team on 2 October 2022, replacing Iñigo Córdoba in the 71st minute of a 2–0 Eredivisie victory against Volendam.
[6] On 19 October, he made his first ever start, playing 56 minutes of a 3–2 loss in the KNVB Cup to his former club NEC, before coming off for Burak Yılmaz.
[2] He has been a fan of Ajax since his youth due to their attacking tactics, and modelled his play after the likes of Hakim Ziyech, David Neres and Quincy Promes.